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Finding the Fourth Proportional to 117.19, 161.85 and 77.95

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Solution

The fourth proportional to 117.19, 161.85 and 77.95 is: 107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.19 : 161.85 = 77.95 : x
  2. Step 2: Convert to fraction form
    117.19/161.85 = 77.95/x
  3. Step 3: Cross multiply
    117.19x = 161.85 × 77.95
  4. Step 4: Simplify right side
    117.19x = 12,616.21
  5. Step 5: Solve for x
    x = 12,616.21/117.19
  6. Step 6: Final answer
    x = 107.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.